1. Rotation: The process of rotating an object around a fixed point. Rotations can be clockwise or counterclockwise and the angle of rotation can vary. The properties of rotation include:
- Every rotation has a center of rotation.
- The size and shape of the object remain the same after rotation.
- The orientation of the object changes after rotation.
2. Reflection: The process of flipping an object over a line (mirror line). The properties of reflection include:
- Every reflection has a line of reflection.
- The size and shape of the object remain the same after reflection.
- The orientation of the object changes after reflection.
3. Translation: The process of moving an object from one place to another without changing its size, shape, or orientation. The properties of translation include:
- Every translation has a direction and a distance.
- The size and shape of the object remain the same after translation.
- The orientation of the object remains the same after translation.
Practice questions:
1. Which of the following transformations changes the orientation of the object?
a) Rotation
b) Reflection
c) Translation
2. True or False: In a reflection, the size and shape of the object change.
3. What is the center of rotation in a rotation transformation?
4. Which of the following transformations keeps the size and shape of the object the same?
a) Rotation
b) Reflection
c) Translation
5. If an object is moved 3 units to the left and 5 units up, what type of transformation is this?
a) Rotation
b) Reflection
c) Translation
Answers:
1. a) Rotation
2. False
3. The center of rotation
4. c) Translation
5. c) Translation
rotation reflection and translation properties practice
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